The coalescent and infinite-site model of a small multigene family

The infinite-site model of a small multigene family with two duplicated genes is studied. The expectations of the amounts of nucleotide variation within and between two genes and linkage disequilibrium are obtained, and a coalescent-based method for simulating patterns of polymorphism in a small multigene family is developed. The pattern of DNA variation is much more complicated than that in a single-copy gene, which can be simulated by the standard coalescent. Using the coalescent simulation of duplicated genes, the applicability of statistical tests of neutrality to multigene families is considered.     

Population genetic models of duplicated genes

Various population genetic models of duplicated genes are introduced. The problems covered in this review include the fixation process of a duplicated copy, copy number polymorphism, the fates of duplicated genes and single nucleotide polymorphism in duplicated genes. Because of increasing evidence for concerted evolution by gene conversion, this review introduces recently developed gene conversion models. In the first half, models assuming independent evolution of duplicated genes are introduced, and then the effect of gene conversion is considered in the second half.     

The coalescent with selection on copy number variants

We develop a coalescent-based simulation tool to generate patterns of single nucleotide polymorphisms (SNPs) in a wide region encompassing both the original and duplicated genes. Selection on the new duplicated copy and interlocus gene conversion between the two copies are incorporated. This simulation enables us to explore how selection on duplicated copies affects the pattern of SNPs. The fixation of an advantageous duplicated copy causes a strong reduction in polymorphism not only in the duplicated copy but also in its flanking regions, which is a typical signature of a selective sweep by positive selection. After fixation, polymorphism gradually increases by accumulating neutral mutations and eventually reaches the equilibrium value if there is no gene conversion. When gene conversion is active, the number of SNPs in the duplicated copy quickly increases by transferring SNPs from the original copy; therefore, the time when we can recognize the signature of selection is decreased. Because this effect of gene conversion is restricted only to the duplicated region, more power to detect selection is expected if a flanking region to the duplicated copy is used.     

Nucleotide variation of the duplicated amylase genes in Drosophila kikkawai

We examined levels and patterns of the nucleotide polymorphism of the Amylase genes with a head-to-head duplication in Drosophila kikkawai. The levels of variation in D. kikkawai were comparable to those in Drosophila melanogaster. Tajima's test, Fu and Li's test, HKA test, and MK test did not show significant departure from neutrality. We found an excess of replacement changes in the within-locus class, representing polymorphism in one of the duplicated genes, compared with the between-locus class, representing polymorphism shared between the duplicated genes. Most replacement changes in the within-locus class were singletons. These results suggest that most replacement changes are deleterious. A contrasting evolutionary pattern, involving concerted evolution in the coding regions but differential evolution in the 5'-flanking regions, was observed. However, unlike the duplicated Amy genes of D. melanogaster, the coding regions of the duplicated genes in D. kikkawai tended to diverge. Using Ohta's model of the small multigene family, we found that recombination (interchromosomal equal crossing-over) rate was one order higher than gene conversion (unequal crossing-over) rate, resulting in a considerable but incomplete homogenization of the duplicated coding regions. Linkage disequilibria were found in the intron as well as within and around the regulatory cis-element sequences of one of the duplicated genes (Amy1). The possible causes of these linkage disequilibria were discussed.     

Gene duplications and sequence polymorphism of bovine class II DQB genes

The genetic diversity of bovine class II DQB genes was investigated by polymerase chain reaction amplification and DNA sequencing. The first domain exon was amplified from genomic DNA samples representing 14 class II haplotypes, defined by restriction fragment length polymorphism (RFLP) analysis. The presence of a polymorphism in the copy number of DQB genes was confirmed since two DQB sequences were isolated from certain haplotypes. Four subtypes of bovine DQB genes were found. DQB1 is the major type and was found in almost all haplotypes. DQB2 is very similar to DQB1 but was found only in the duplicated haplotypes DQ9 to 12. DQB3 and DQB4 are two quite divergent genes only present in certain duplicated haplotypes. The bovine DQB complexity thus resembles that in the human DRB region. Bovine DQB genes were found to be highly polymorphic as ten DQB1 alleles and four DQB2 alleles were identified. The observed sequence polymorphism correlated well with previously defined DQB RFLPs. Bovine and human DQB alleles show striking similarities at the amino acid level. In contrast, the frequency of silent substitutions is much higher in comparisons of DQB alleles between species than within species ruling out the possibility that any of the contemporary DQB alleles have been maintained since the divergence of humans and cattle. The frequency of silent substitutions between DQB alleles was markedly lower in cattle than in humans, in agreement with a previous comparison of human and bovine DRB alleles.     

The Ghost of Selection Past: Rates of Evolution and Functional Divergence of Anciently Duplicated Genes

The duplication of genes and even complete genomes may be a prerequisite for major evolutionary transitions and the origin of evolutionary novelties. However, the evolutionary mechanisms of gene evolution and the origin of novel gene functions after gene duplication have been a subject of many debates. Recently, we compiled 26 groups of orthologous genes, which included one gene from human, mouse, and chicken, one or two genes from the tetraploid Xenopus and two genes from zebrafish. Comparative analysis and mapping data showed that these pairs of zebrafish genes were probably produced during a fish-specific genome duplication that occurred between 300 and 450 Mya, before the teleost radiation (Taylor et al. 2001). As discussed here, many of these retained duplicated genes code for DNA binding proteins. Different models have been developed to explain the retention of duplicated genes and in particular the subfunctionalization model of Force et al. (1999) could explain why so many developmental control genes have been retained. Other models are harder to reconcile with this particular set of duplicated genes. Most genes seem to have been subjected to strong purifying selection, keeping properties such as charge and polarity the same in both duplicates, although some evidence was found for positive Darwinian selection, in particular for Hox genes. However, since only the cumulative pattern of nucleotide substitutions can be studied, clear indications of positive Darwinian selection or neutrality may be hard to find for such anciently duplicated genes. Nevertheless, an increase in evolutionary rate in about half of the duplicated genes seems to suggest that either positive Darwinian selection has occurred or that functional constraints have been relaxed at one point in time during functional divergence. Received: 4 January 2001 / Accepted: 29 March 2001     

Altitudinal variation at duplicated β-globin genes in deer mice: effects of selection, recombination, and gene conversion

Spatially varying selection on a given polymorphism is expected to produce a localized peak in the between-population component of nucleotide diversity, and theory suggests that the chromosomal extent of elevated differentiation may be enhanced in cases where tandemly linked genes contribute to fitness variation. An intriguing example is provided by the tandemly duplicated β-globin genes of deer mice (Peromyscus maniculatus), which contribute to adaptive differentiation in blood-oxygen affinity between high- and low-altitude populations. Remarkably, the two β-globin genes segregate the same pair of functionally distinct alleles due to a history of interparalog gene conversion and alleles of the same functional type are in perfect coupling-phase linkage disequilibrium (LD). Here we report a multilocus analysis of nucleotide polymorphism and LD in highland and lowland mice with different genetic backgrounds at the β-globin genes. The analysis of haplotype structure revealed a paradoxical pattern whereby perfect LD between the two β-globin paralogs (which are separated by 16.2 kb) is maintained in spite of the fact that LD within both paralogs decays to background levels over physical distances of less than 1 kb. The survey of nucleotide polymorphism revealed that elevated levels of altitudinal differentiation at each of the β-globin genes drop away quite rapidly in the external flanking regions (upstream of the 5' paralog and downstream of the 3' paralog), but the level of differentiation remains unexpectedly high across the intergenic region. Observed patterns of diversity and haplotype structure are difficult to reconcile with expectations of a two-locus selection model with multiplicative fitness.     

Role of selection in fixation of gene duplications

New genes commonly appear through complete or partial duplications of pre-existing genes. Duplications of long DNA segments are constantly produced by rare mutations, may become fixed in a population by selection or random drift, and are subject to divergent evolution of the paralogous sequences after fixation, although gene conversion can impede this process. New data shed some light on each of these processes. Mutations which involve duplications can occur through at least two different mechanisms, backward strand slippage during DNA replication and unequal crossing-over. The background rate of duplication of a complete gene in humans is 10(-9)-10(-10) per generation, although many genes located within hot-spots of large-scale mutation are duplicated much more often. Many gene duplications affect fitness strongly, and are responsible, through gene dosage effects, for a number of genetic diseases. However, high levels of intrapopulation polymorphism caused by presence or absence of long, gene-containing DNA segments imply that some duplications are not under strong selection. The polymorphism to fixation ratios appear to be approximately the same for gene duplications and for presumably selectively neutral nucleotide substitutions, which, according to the McDonald-Kreitman test, is consistent with selective neutrality of duplications. However, this pattern can also be due to negative selection against most of segregating duplications and positive selection for at least some duplications which become fixed. Patterns in post-fixation evolution of duplicated genes do not easily reveal the causes of fixations. Many gene duplications which became fixed recently in a variety of organisms were positively selected because the increased expression of the corresponding genes was beneficial. The effects of gene dosage provide a unified framework for studying all phases of the life history of a gene duplication. Application of well-known methods of evolutionary genetics to accumulating data on new, polymorphic, and fixed duplication will enhance our understanding of the role of natural selection in the evolution by gene duplication.     

Evolution of Stress-Regulated Gene Expression in Duplicate Genes of Arabidopsis thaliana

Due to the selection pressure imposed by highly variable environmental conditions, stress sensing and regulatory response mechanisms in plants are expected to evolve rapidly. One potential source of innovation in plant stress response mechanisms is gene duplication. In this study, we examined the evolution of stress-regulated gene expression among duplicated genes in the model plant Arabidopsis thaliana. Key to this analysis was reconstructing the putative ancestral stress regulation pattern. By comparing the expression patterns of duplicated genes with the patterns of their ancestors, duplicated genes likely lost and gained stress responses at a rapid rate initially, but the rate is close to zero when the synonymous substitution rate (a proxy for time) is >~0.8. When considering duplicated gene pairs, we found that partitioning of putative ancestral stress responses occurred more frequently compared to cases of parallel retention and loss. Furthermore, the pattern of stress response partitioning was extremely asymmetric. An analysis of putative cis-acting DNA regulatory elements in the promoters of the duplicated stress-regulated genes indicated that the asymmetric partitioning of ancestral stress responses are likely due, at least in part, to differential loss of DNA regulatory elements; the duplicated genes losing most of their stress responses were those that had lost more of the putative cis-acting elements. Finally, duplicate genes that lost most or all of the ancestral responses are more likely to have gained responses to other stresses. Therefore, the retention of duplicates that inherit few or no functions seems to be coupled to neofunctionalization. Taken together, our findings provide new insight into the patterns of evolutionary changes in gene stress responses after duplication and lay the foundation for testing the adaptive significance of stress regulatory changes under highly variable biotic and abiotic environments.     

Divergence in expression between duplicated genes in Arabidopsis

New genes may arise through tandem duplication, dispersed small-scale duplication, and polyploidy, and patterns of divergence between duplicated genes may vary among these classes. We have examined patterns of gene expression and coding sequence divergence between duplicated genes in Arabidopsis thaliana. Due to the simultaneous origin of polyploidy-derived gene pairs, we can compare covariation in the rates of expression divergence and sequence divergence within this group. Among tandem and dispersed duplicates, much of the divergence in expression profile appears to occur at or shortly after duplication. Contrary to findings from other eukaryotic systems, there is little relationship between expression divergence and synonymous substitutions, whereas there is a strong positive relationship between expression divergence and nonsynonymous substitutions. Because this pattern is pronounced among the polyploidy-derived pairs, we infer that the strength of purifying selection acting on protein sequence and expression pattern is correlated. The polyploidy-derived pairs are somewhat atypical in that they have broader expression patterns and are expressed at higher levels, suggesting differences among polyploidy- and nonpolyploidy-derived duplicates in the types of genes that revert to single copy. Finally, within many of the duplicated pairs, 1 gene is expressed at a higher level across all assayed conditions, which suggests that the subfunctionalization model for duplicate gene preservation provides, at best, only a partial explanation for the patterns of expression divergence between duplicated genes.     

Neofunctionalization of duplicated genes under the pressure of gene conversion

Neofunctionalization occurs when a neofunctionalized allele is fixed in one of duplicated genes. This is a simple fixation process if duplicated genes accumulate mutations independently. However, the process is very complicated when duplicated genes undergo concerted evolution by gene conversion. Our simulations demonstrate that the process could be described with three distinct stages. First, a newly arisen neofunctionalized allele increases in frequency by selection, but gene conversion prevents its complete fixation. These two factors (selection and gene conversion) that work in opposite directions create an equilibrium, and the time during which the frequency of the neofunctionalized allele drifts around the equilibrium value is called the temporal equilibrium stage. During this temporal equilibrium stage, it is possible that gene conversion is inactivated by mutations, which allow the complete fixation of the neofunctionalized allele. And then, permanent neofunctionalization is achieved. This article develops basic population genetics theories on the process to permanent neofunctionalization under the pressure of gene conversion. We obtain the probability and time that the frequency of a newly arisen neofunctionalized allele reaches the equilibrium value. It is also found that during the temporal equilibrium stage, selection exhibits strong signature in the divergence in the DNA sequences between the duplicated genes. The spatial distribution of the divergence likely has a peak around the site targeted by selection. We provide an analytical expression of the pattern of divergence and apply it to the human red- and green-opsin genes. The theoretical prediction well fits the data when we assume that selection is operating for the two amino acid differences in exon 5, which are believed to account for the major part of the functional difference between the red and green opsins.     

Adaptive evolution at the molecular level of the duplicatedAmy gene system inDrosophila

Analyses of the nucleotide sequences of the duplicatedAmy genes in the eight species of theDrosophila melanogaster species subgroup have revealed concerted evolution of the coding regions and divergent evolution between the duplicated genes of the 5’-flanking regions. Homogenization between the duplicated genes in the coding region is maintained by frequent genetic exchange in various portions of the coding region. On the other hand, such genetic exchange seems to produce a large amount of DNA sequence variation and protein polymorphism at the two loci within a species. The puzzling observation that concerted evolution is restricted to the coding regions seems to be explained by not only adaptive evolution of the AMY proteins in speciation but also adaptive fixation of selectively advantageous mutations in the intergenic region that differentiate expression of the twoAmy genes. We review molecular work on theAmy gene system inDrosophila, including evidence from biochemical characterization of the AMY proteins and molecular characterization of the cis regulatory elements.     

Codon bias differentiates between the duplicated amylase loci following gene duplication in Drosophila

We examined the pattern of synonymous substitutions in the duplicated Amylase (Amy) genes (called the Amy1- and Amy3-type genes, respectively) in the Drosophila montium species subgroup. The GC content at the third synonymous codon sites of the Amy1-type genes was higher than that of the Amy3-type genes, while the GC content in the 5'-flanking region was the same in both genes. This suggests that the difference in the GC content at third synonymous sites between the duplicated genes is not due to the temporal or regional changes in mutation bias. We inferred the direction of synonymous substitutions along branches of a phylogeny. In most lineages, there were more synonymous substitutions from G/C (G or C) to A/T (A or T) than from A/T to G/C. However, in one lineage leading to the Amy1-type genes, which is immediately after gene duplication but before speciation of the montium species, synonymous substitutions from A/T to G/C were predominant. According to a simple model of synonymous DNA evolution in which major codons are selectively advantageous within each codon family, we estimated the selection intensity for specific lineages in a phylogeny on the basis of inferred patterns of synonymous substitutions. Our result suggested that the difference in GC content at synonymous sites between the two Amy-type genes was due to the change of selection intensity immediately after gene duplication but before speciation of the montium species.     

The Unique Structure of the Apicoplast Genome of the Rodent Malaria Parasite Plasmodium chabaudi chabaudi

The apicoplast, a non-photosynthetic plastid of apicomplexan species, has an extremely reduced but highly conserved genome. Here, the apicoplast genome of the rodent malaria parasite Plasmodium chabaudi chabaudi (Pcc) isolate CB was characterized. Although the set of genes in the genome is identical, the copy number of some tRNA genes differs between Pcc and other Plasmodium species because the Pcc DNA has only one rRNA/tRNA gene cluster, which is normally duplicated in other species. The location of the duplicated trnR(ACG) and trnM implies that one of the duplicated clusters in the ancestral molecule has been lost due to an intramolecular recombination event. The Pcc DNA occurs in two isoforms with an internal inversion between them. The presence of a unique variant in the duplicated trnT gene suggests that the two isoforms are interconvertible. This is the first report of the complete nucleotide sequence of a Plasmodium apicoplast DNA.     

Investigation of genetic diversity in wild colonies of naked mole-rats (Heterocephalus glaber) by DNA fingerprinting

DNA from 20 individuals from four wild colonies of naked mole-rats, Heterocephalus glaber , were analysed for restriction fragment length polymorphism of class I major histocompatibility complex genes and minisatellite DNA, both of which have been shown to be highly variable between individuals in other species. The minisatellite probe employed in this study revealed limited polymorphism in the DNA of naked mole-rats, both within and between neighbouring colonies. Of the two class I major histocompatibility complex probes, both showed a lack of polymorphism within colonies, while one revealed a single difference in the restriction fragment pattern between one colony and the other three. This probe also revealed a possible variation in copy number of genes in some individuals. The low numbers of bands on the restriction fragment pattern also indicated that the naked mole-rat MHC I, in contrast to that of other mammalian species, may contain relatively few genes homologous to the class I major histocompatibility complex of the mouse. The absence of variability in naked mole-rat DNA in these normally highly polymorphic loci suggests that there may be little or no genetic diversity either within or between closely neighbouring colonies of naked mole-rats in the wild. The lack of polymorphism in the MHC I questions its possible role in individual odour recognition in this species of rodent.     

Duplication and Gene Conversion in the Drosophila melanogaster Genome

Using the genomic sequences of Drosophila melanogaster subgroup, the pattern of gene duplications was investigated with special attention to interlocus gene conversion. Our fine-scale analysis with careful visual inspections enabled accurate identification of a number of duplicated blocks (genomic regions). The orthologous parts of those duplicated blocks were also identified in the D. simulans and D. sechellia genomes, by which we were able to clearly classify the duplicated blocks into post- and pre-speciation blocks. We found 31 post-speciation duplicated genes, from which the rate of gene duplication (from one copy to two copies) is estimated to be 1.0×10⁻⁹ per single-copy gene per year. The role of interlocus gene conversion was observed in several respects in our data: (1) synonymous divergence between a duplicated pair is overall very low. Consequently, the gene duplication rate would be seriously overestimated by counting duplicated genes with low divergence; (2) the sizes of young duplicated blocks are generally large. We postulate that the degeneration of gene conversion around the edges could explain the shrinkage of “identifiable” duplicated regions; and (3) elevated paralogous divergence is observed around the edges in many duplicated blocks, supporting our gene conversion–degeneration model. Our analysis demonstrated that gene conversion between duplicated regions is a common and genome-wide phenomenon in the Drosophila genomes, and that its role should be especially significant in the early stages of duplicated genes. Based on a population genetic prediction, we applied a new genome-scan method to test for signatures of selection for neofunctionalization and found a strong signature in a pair of transporter genes.     

Patterns of nucleotide polymorphism and divergence in the odorant-binding protein genes OS-E and OS-F: analysis in the melanogaster species subgroup of Drosophila

The Olfactory Specific-E and -F genes (OS-E and OS-F) belong to the odorant-binding protein gene family, which includes the general odorant-binding proteins and the pheromone-binding proteins. In Drosophila melanogaster, these genes are arranged in tandem in a genomic region near the centromere of chromosome arm 3R. We examined the pattern of DNA sequence variation in an approximately 7-kb genomic region encompassing the two OS genes in four species of the melanogaster subgroup of Drosophila and in a population sample of D. melanogaster. We found that both the OS-E and the OS-F gene are present in all surveyed species. Nucleotide divergence estimates would support that the two genes are functional, although they diverge in their functional constraint. The pattern of nucleotide variation in D. melanogaster also differed between genes. Variation in the OS-E gene region exhibited an unusual and distinctive pattern: (i) a relatively high number of fixed amino acid replacements in the encoded protein and (ii) a peak of nucleotide polymorphism around the OS-E gene. These results are unlikely under the neutral model and suggest the action of natural selection in the evolution of the two odorant-binding protein genes.